Manchester Memoirs, Vol. li. (1907), No. 16. 9 



result in a first throw is followed by a given result in a 

 second. This want is supplied by the so-called Correla- 

 tion Table. Here is one on which are exhibited the 

 results of the 500 pairs of throws detailed on pages 6 and 7, 



Second Throws. 

 / 23 4.T67 8 9 d> II it 



to 



































/ 







/ 



1 



/ 



















3 



1 







/ 





1 



3 



2. 















g 



3 







2 



3 



5 



^ 



Z 



6 













14 



4 







5 



9 



8 



// 



/6 



7 



6 



/ 









^3 



5 







1 



5 



n 



*4 



19 



15 



II 



2. 









(05 



6 







/ 



5 



'4- 



15" 



*4 



H 



n 



4 



3 







117 



7 









2. 



1 



13 



16 



2-7 



\i 



4- 



2 







7^ 



S 











2 



7 • 



13 



12 



14 



5" 



3 







^ 



9 













3 



5" 



6 



9 



5" 



2 







3o 



JO 

















2 



/ 



2. 









jr 



/J 



















/ 











/ 



a 





































11 



Z5" 



5/ 



91 



V 



"9 



71 



13 



/O 







500 



The Table proper is bounded at the left and top by 

 single lines, and at the right and bottom by double ones. 



It is made up of 169 squares. A horizontal series of 

 these squares is spoken of as a row ; a vertical series of 

 them as a column. So that we may say that the table 

 consists at once of 13 horizontal rows, each of which is 

 made up of 13 squares ; and of 13 vertical columns, each 

 of which is likewise made up of 13 squares. 



The numbers at the top of (but outside) the columns 

 stand for the various possible results of second throws, 

 which, as we know, may be anything from to 12. The 



